Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.

The Reality of Numbers: A Physicalist's Philosophy of Mathematics

History

Bigelow, John

Europe

Clarendon Press

The Peach Orchard, Gettysburg, July 2, 1863

Americas

Franklin Classics

The Life of Samuel J. Tilden; Volume 1

Tilden, Samuel Jones

Biographies & Memoirs

The Mystery of Sleep

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Peace Given as the World Giveth; or, The Portsmouth Treaty and its First Year's Fruits

World

France and the Confederate Navy, 1862-1868

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William Cullen Bryant (Americom Journalists Series)

Reference

Ayer Co. Pub

Science and Necessity (Cambridge Studies in Philosophy)

This book espouses a theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws of nature, causation and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science.

Politics & Social Sciences

Pargetter, Robert

Philosophy

Cambridge University Press

This book espouses an innovative theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws of nature, causation, and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians, and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science.

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